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+/* specfunc/gsl_sf_expint.h
+ *
+ * Copyright (C) 2007 Brian Gough
+ * Copyright (C) 1996, 1997, 1998, 1999, 2000, 2001, 2002 Gerard Jungman
+ *
+ * This program is free software; you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation; either version 3 of the License, or (at
+ * your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful, but
+ * WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ * General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program; if not, write to the Free Software
+ * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
+ */
+
+/* Author: G. Jungman */
+
+#ifndef __GSL_SF_EXPINT_H__
+#define __GSL_SF_EXPINT_H__
+
+#include <gsl/gsl_sf_result.h>
+
+#undef __BEGIN_DECLS
+#undef __END_DECLS
+#ifdef __cplusplus
+# define __BEGIN_DECLS extern "C" {
+# define __END_DECLS }
+#else
+# define __BEGIN_DECLS /* empty */
+# define __END_DECLS /* empty */
+#endif
+
+__BEGIN_DECLS
+
+
+/* E_1(x) := Re[ Integrate[ Exp[-xt]/t, {t,1,Infinity}] ]
+ *
+ * x != 0.0
+ * exceptions: GSL_EDOM, GSL_EOVRFLW, GSL_EUNDRFLW
+ */
+int gsl_sf_expint_E1_e(const double x, gsl_sf_result * result);
+double gsl_sf_expint_E1(const double x);
+
+
+/* E_2(x) := Re[ Integrate[ Exp[-xt]/t^2, {t,1,Infinity}] ]
+ *
+ * x != 0.0
+ * exceptions: GSL_EDOM, GSL_EOVRFLW, GSL_EUNDRFLW
+ */
+int gsl_sf_expint_E2_e(const double x, gsl_sf_result * result);
+double gsl_sf_expint_E2(const double x);
+
+
+/* E_n(x) := Re[ Integrate[ Exp[-xt]/t^n, {t,1,Infinity}] ]
+ *
+ * x != 0.0
+ * exceptions: GSL_EDOM, GSL_EOVRFLW, GSL_EUNDRFLW
+ */
+int gsl_sf_expint_En_e(const int n, const double x, gsl_sf_result * result);
+double gsl_sf_expint_En(const int n, const double x);
+
+
+/* E_1_scaled(x) := exp(x) E_1(x)
+ *
+ * x != 0.0
+ * exceptions: GSL_EDOM, GSL_EOVRFLW, GSL_EUNDRFLW
+ */
+int gsl_sf_expint_E1_scaled_e(const double x, gsl_sf_result * result);
+double gsl_sf_expint_E1_scaled(const double x);
+
+
+/* E_2_scaled(x) := exp(x) E_2(x)
+ *
+ * x != 0.0
+ * exceptions: GSL_EDOM, GSL_EOVRFLW, GSL_EUNDRFLW
+ */
+int gsl_sf_expint_E2_scaled_e(const double x, gsl_sf_result * result);
+double gsl_sf_expint_E2_scaled(const double x);
+
+/* E_n_scaled(x) := exp(x) E_n(x)
+ *
+ * x != 0.0
+ * exceptions: GSL_EDOM, GSL_EOVRFLW, GSL_EUNDRFLW
+ */
+int gsl_sf_expint_En_scaled_e(const int n, const double x, gsl_sf_result * result);
+double gsl_sf_expint_En_scaled(const int n, const double x);
+
+
+/* Ei(x) := - PV Integrate[ Exp[-t]/t, {t,-x,Infinity}]
+ * := PV Integrate[ Exp[t]/t, {t,-Infinity,x}]
+ *
+ * x != 0.0
+ * exceptions: GSL_EDOM, GSL_EOVRFLW, GSL_EUNDRFLW
+ */
+int gsl_sf_expint_Ei_e(const double x, gsl_sf_result * result);
+double gsl_sf_expint_Ei(const double x);
+
+
+/* Ei_scaled(x) := exp(-x) Ei(x)
+ *
+ * x != 0.0
+ * exceptions: GSL_EDOM, GSL_EOVRFLW, GSL_EUNDRFLW
+ */
+int gsl_sf_expint_Ei_scaled_e(const double x, gsl_sf_result * result);
+double gsl_sf_expint_Ei_scaled(const double x);
+
+
+/* Shi(x) := Integrate[ Sinh[t]/t, {t,0,x}]
+ *
+ * exceptions: GSL_EOVRFLW, GSL_EUNDRFLW
+ */
+int gsl_sf_Shi_e(const double x, gsl_sf_result * result);
+double gsl_sf_Shi(const double x);
+
+
+/* Chi(x) := Re[ M_EULER + log(x) + Integrate[(Cosh[t]-1)/t, {t,0,x}] ]
+ *
+ * x != 0.0
+ * exceptions: GSL_EDOM, GSL_EOVRFLW, GSL_EUNDRFLW
+ */
+int gsl_sf_Chi_e(const double x, gsl_sf_result * result);
+double gsl_sf_Chi(const double x);
+
+
+/* Ei_3(x) := Integral[ Exp[-t^3], {t,0,x}]
+ *
+ * x >= 0.0
+ * exceptions: GSL_EDOM
+ */
+int gsl_sf_expint_3_e(const double x, gsl_sf_result * result);
+double gsl_sf_expint_3(double x);
+
+
+/* Si(x) := Integrate[ Sin[t]/t, {t,0,x}]
+ *
+ * exceptions: none
+ */
+int gsl_sf_Si_e(const double x, gsl_sf_result * result);
+double gsl_sf_Si(const double x);
+
+
+/* Ci(x) := -Integrate[ Cos[t]/t, {t,x,Infinity}]
+ *
+ * x > 0.0
+ * exceptions: GSL_EDOM
+ */
+int gsl_sf_Ci_e(const double x, gsl_sf_result * result);
+double gsl_sf_Ci(const double x);
+
+
+/* AtanInt(x) := Integral[ Arctan[t]/t, {t,0,x}]
+ *
+ *
+ * exceptions:
+ */
+int gsl_sf_atanint_e(const double x, gsl_sf_result * result);
+double gsl_sf_atanint(const double x);
+
+
+__END_DECLS
+
+#endif /* __GSL_SF_EXPINT_H__ */